Graded Bourbaki ideals of graded modules
Graded Bourbaki ideals of graded modules
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DOI：
10.1007/s00209-021-02724-8
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发表时间：
2020-02
影响因子：
0.8
通讯作者：
J. Herzog;S. Kumashiro;Dumitru I. Stamate
中科院分区：
文献类型：
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作者：
J. Herzog;S. Kumashiro;Dumitru I. Stamate
本文研究了分级布尔巴基理想。众所周知，对于noether法域上的无扭模，存在Bourbaki序列。我们给出了关于模的同态的若干附加矩阵的准则来推导出一个布尔巴基序列。特别注意的是分级布尔巴基序列。在论文的第二部分，我们将这些结果应用于剩余类域的Koszul环，并明确地确定了特定的Bourbaki理想。在一种特殊情况下，我们还得到了科祖尔循环的Rees代数结构与其Bourbaki理想的Rees代数结构之间的关系。
In this paper we study graded Bourbaki ideals. It is a well-known fact that for torsionfree modules over Noetherian normal domains, Bourbaki sequences exist. We give criteria in terms of certain attached matrices for a homomorphism of modules to induce a Bourbaki sequence. Special attention is given to graded Bourbaki sequences. In the second part of the paper, we apply these results to the Koszul cycles of the residue class field and determine particular Bourbaki ideals explicitly. We also obtain in a special case the relationship between the structure of the Rees algebra of a Koszul cycle and the Rees algebra of its Bourbaki ideal.